3,702,206

2 × 31 × 211 × 283

Starting at 3,702,206, the Collatz iteration reaches 1 after 110 steps. The first transition is 1851103; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 31 × 211 × 283

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,779,968

Proper Divisor Sum 2,077,762

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #3702197 ← → #3702211

Radix Representation

Decimal	3702206
Binary	1110000111110110111110 (22 bits)
Octal	0o16076676
Hexadecimal	0x387DBE

Divisor Catalog (16)

1 2 31 62 211 283 422 566 6,541 8,773 13,082 17,546 59,713 119,426 1,851,103 3,702,206

Collatz Trajectory (110 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

3,702,206 1,851,103 5,553,310 2,776,655 8,329,966 4,164,983 12,494,950 6,247,475 18,742,426 9,371,213 28,113,640 14,056,820 7,028,410 3,514,205 10,542,616 5,271,308 2,635,654 1,317,827 3,953,482 1,976,741 5,930,224 2,965,112 1,482,556 741,278 370,639 1,111,918 555,959 1,667,878 833,939 2,501,818 1,250,909 3,752,728 1,876,364 938,182 469,091 1,407,274 703,637 2,110,912 1,055,456 527,728 263,864 131,932 65,966 32,983 98,950 49,475 148,426 74,213 222,640 111,320 55,660 27,830 13,915 41,746 20,873 62,620 31,310 15,655 46,966 23,483

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